When you successfully log in to the Figma plugin with a verified account, it will ask you to “Select frames or components to export to Zeplin”.

If you're still seeing the “Connect Zeplin account” button, make sure the email address of your Zeplin account has been verified. Then, try to log in to the plugin again.

Check if there's an issue with your connection or if the frame is very large (or has complex layers). Try copying the frame into a brand new Figma file or simplifying it.
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If the error message persists, you can contact us at support@zeplin.io with full details, and we'll investigate it.

If the styleguides don't show up on Zeplin's Figma plugin when you're trying to export a component, make sure you've selected a component in your Figma file and the "Export components to styleguide" option is enabled on the plugin settings menu.